In the following figure, ABCD is a square with AB = 15 cm. Find the ar

1.	In the following figure, ABCD is a square with AB = 15 cm. Find the area of the square BDFE.
Answer» Given, ABCD is a square and AB = 15 cm Diagonal of square ABCD = √2a = √2 x 15 = 15√2 cm From the figure, diagonal of square ABCD is the side of square BDEF Area of the square BDFE = (side)² = (15√2)² = 15 x 15 x √2 x √2 = 225 x 2 = 450 cm²

In the following figure, ABCD is a square with AB = 15 cm. Find the area of the square BDFE.

Answer»

Given, ABCD is a square and AB = 15 cm

Diagonal of square ABCD = √2a = √2 x 15 = 15√2 cm

From the figure, diagonal of square ABCD is the side of square BDEF

Area of the square BDFE = (side)²

= (15√2)²

= 15 x 15 x √2 x √2

= 225 x 2

= 450 cm²